Solving distillation problems by Newton-like methods

Abstract Literature examples are used to show that failure of direct prediction Newton-like methods is always due to physical inconsistencies that arise during Based on these observations, a generic initialization procedure is presented that makes certain Newton-like methods very reliable. The thermodynamically consistent hybrid method is shown to be more efficient than Newton's method with analytical derivatives and conditions under whic The effect of machine precision on the solution of distillation problems involving pinch points is also illustrated. Finally, multiple solutions for an azeotropic distillation operating in a homogeneous regime are reconfirmed; two regular turning points are located wi Many numerical examples are presented.